-(n-3)=-8(2n+9)

Solution for -(n-3)=-8(2n+9) equation:

Simplifying
-1(n + -3) = -8(2n + 9)

Reorder the terms:
-1(-3 + n) = -8(2n + 9)
(-3 * -1 + n * -1) = -8(2n + 9)
(3 + -1n) = -8(2n + 9)

Reorder the terms:
3 + -1n = -8(9 + 2n)
3 + -1n = (9 * -8 + 2n * -8)
3 + -1n = (-72 + -16n)

Solving
3 + -1n = -72 + -16n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '16n' to each side of the equation.
3 + -1n + 16n = -72 + -16n + 16n

Combine like terms: -1n + 16n = 15n
3 + 15n = -72 + -16n + 16n

Combine like terms: -16n + 16n = 0
3 + 15n = -72 + 0
3 + 15n = -72

Add '-3' to each side of the equation.
3 + -3 + 15n = -72 + -3

Combine like terms: 3 + -3 = 0
0 + 15n = -72 + -3
15n = -72 + -3

Combine like terms: -72 + -3 = -75
15n = -75

Divide each side by '15'.
n = -5

Simplifying
n = -5